3410794728 has 384 divisors, whose sum is σ = 11456640000. Its totient is φ = 903260160.

The previous prime is 3410794727. The next prime is 3410794733. The reversal of 3410794728 is 8274970143.

It is not an unprimeable number, because it can be changed into a prime (3410794727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17139573 + ... + 17139771.

It is an arithmetic number, because the mean of its divisors is an integer number (29835000).

Almost surely, 2^3410794728 is an apocalyptic number.

3410794728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410794728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320000).

3410794728 is an abundant number, since it is smaller than the sum of its proper divisors (8045845272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3410794728 is a wasteful number, since it uses less digits than its factorization.

3410794728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3410794728 is about 58402.0096229573. The cubic root of 3410794728 is about 1505.2842850276.

The spelling of 3410794728 in words is "three billion, four hundred ten million, seven hundred ninety-four thousand, seven hundred twenty-eight".